3.14⋅34

Multiply 4 by 4. Place the ones digit (6) in the result line and carry the tens digit (1). There is one result line for each digit in 34.

1 | |||

3 | .1 | 4 | |

⨯ | 3 | 4 | |

6 |

Multiply 4 by 1 and add the carried 1. Place the result in the next column in the result line. There is one result line for each digit in 34.

1 | |||

3 | .1 | 4 | |

⨯ | 3 | 4 | |

5 | 6 |

Multiply 4 by 3. Place the ones digit (2) in the result line and carry the tens digit (1). There is one result line for each digit in 34.

3 | .1 | 4 | |

⨯ | 3 | 4 | |

1 | 2 | 5 | 6 |

Multiply 3 by 4. Place the ones digit (2) in the result line and carry the tens digit (1). There is one result line for each digit in 34.

1 | |||

3 | .1 | 4 | |

⨯ | 3 | 4 | |

1 | 2 | 5 | 6 |

2 |

Multiply 3 by 1 and add the carried 1. Place the result in the next column in the result line. There is one result line for each digit in 34.

1 | |||

3 | .1 | 4 | |

⨯ | 3 | 4 | |

1 | 2 | 5 | 6 |

4 | 2 |

Multiply 3 by 3. Place the result in the next column in the result line. There is one result line for each digit in 34.

3 | .1 | 4 | |

⨯ | 3 | 4 | |

1 | 2 | 5 | 6 |

9 | 4 | 2 |

Add the numbers in each column. In this case, add 6+0, then place the 6 in the result line.

3 | .1 | 4 | |

⨯ | 3 | 4 | |

1 | 2 | 5 | 6 |

9 | 4 | 2 | |

6 |

Add the numbers in each column. In this case, add 5+2, then place the 7 in the result line.

3 | .1 | 4 | |

⨯ | 3 | 4 | |

1 | 2 | 5 | 6 |

9 | 4 | 2 | |

7 | 6 |

Add the numbers in each column. In this case, add 2+4, then place the 6 in the result line.

3 | .1 | 4 | |

⨯ | 3 | 4 | |

1 | 2 | 5 | 6 |

9 | 4 | 2 | |

6 | 7 | 6 |

Add the numbers in each column. In this case, add 1+9, then place the 0 in the result line and carry the 1.

3 | .1 | 4 | ||

⨯ | 3 | 4 | ||

1 | 2 | 5 | 6 | |

9 | 4 | 2 | ||

1 | 0 | 6 | 7 | 6 |

To find the number of decimal places needed in the answer, add the number of decimal places in the multiplier and multiplicand. In this case, there is a total of 2, so the answer must have 2 decimal places as well.

106.76

Multiply Using Long Multiplication 3.14*34